On the surface average for harmonic functions: a stability inequality

In this article we present some of the main aspects  and the most recent results related to the following question: If the surface  mean integral of every harmonic function on the boundary of an open set D is "almost'' equal to the value of these functions at x0 in D, then  is D "...

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Bibliographic Details
Main Authors: Giovanni Cupini, Ermanno Lanconelli
Format: Article
Language:English
Published: University of Bologna 2024-01-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/18860